SmarterEd

Aussie Maths & Science Teachers: Save your time with SmarterEd

Properties of Geometric Figures, SM-Bank 041

A pentagon is pictured below.
 

  1. By drawing triangles from one vertex, or otherwise, calculate the sum of the internal angles of a pentagon.   (1 mark)

  2. Determine the value of in the pentagon.     (2 marks)
Show Answers Only

i.   

ii.   

Show Worked Solution

i.   


 

ii.     
 
 
   

Properties of Geometrical Figures, SM-Bank 030

  is a pentagon.
 

  1. Using point as one vertex, divide the pentagon into the maximum number of triangles possible.   (1 mark)

  2. Using the angle sum of one triangle, show that the sum of the internal angles of the pentagon is 540°.   (2 marks)

Show Answers Only

i.    
         

ii.   

Show Worked Solution

i.    
         

ii.